102115177025 has 12 divisors (see below), whose sum is σ = 126720487212. Its totient is φ = 81629130240.

The previous prime is 102115176967. The next prime is 102115177093. The reversal of 102115177025 is 520771511201.

It can be written as a sum of positive squares in 6 ways, for example, as 9578145424 + 92537031601 = 97868^2 + 304199^2 .

It is not a de Polignac number, because 102115177025 - 2⁸ = 102115176769 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102115176982 and 102115177000.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1542212 + ... + 1607061.

It is an arithmetic number, because the mean of its divisors is an integer number (10560040601).

Almost surely, 2^102115177025 is an apocalyptic number.

It is an amenable number.

102115177025 is a deficient number, since it is larger than the sum of its proper divisors (24605310187).

102115177025 is a wasteful number, since it uses less digits than its factorization.

102115177025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3150580 (or 3150575 counting only the distinct ones).

The product of its (nonzero) digits is 4900, while the sum is 32.

Adding to 102115177025 its reverse (520771511201), we get a palindrome (622886688226).

The spelling of 102115177025 in words is "one hundred two billion, one hundred fifteen million, one hundred seventy-seven thousand, twenty-five".